Answer:
[tex]x\in[6,\infty)[/tex]
Step-by-step explanation:
We have been given the function [tex]y=2\sqrt{x-6}[/tex]
Domain is the set of x values for which the function is defined.
The square root function is defined for the positive values only.
Hence, in order to find the domain of the function, we have
[tex]x-6\geq0\\\\x\geq6[/tex]
Therefore, domain of the function is given by
[tex]x\in[6,\infty)[/tex]
